An official of a large national union claims that the fraction of women in the union is not significantly different from one-half. Using the critical value approach and the sample information reported below, carry out a test of this statement. Let a = 0.05. Ho sample size 400 H₂: women men 162 State the null and alternative hypotheses. (Enter != for as needed.) 238 Find the value of the test statistic. Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic S test statistic 2 State your conclusion. O Do not reject Ho. There is insufficient evidence to conclude that the fraction of women in the union is significantly different from one-half. O Reject Ho. There is sufficient evidence to conclude that the fraction of women in the union is significantly different from one-half. O Reject Ho. There is insufficient evidence to conclude that the fraction of women in the union is significantly different from one-half. O Do not reject Ho. There is sufficient evidence to conclude that the fraction of women in the union is significantly different from one-half.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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An official of a large national union claims that the fraction of women in the union is not significantly different from one-half. Using the critical value approach and the sample information
reported below, carry out a test of this statement. Let a = 0.05.
sample size 400
women
H₂:
men
162
238
State the null and alternative hypotheses. (Enter != for as needed.).
Ho:
Find the value of the test statistic.
Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)
test statistic S
test statistic 2
State your conclusion.
O Do not reject Ho. There is insufficient evidence to conclude that the fraction of women in the union is significantly different from one-half.
O Reject Ho. There is sufficient evidence to conclude that the fraction of women in the union is significantly different from one-half.
O Reject Ho. There is insufficient evidence to conclude that the fraction of women in the union is significantly different from one-half.
O Do not reject Ho. There is sufficient evidence to conclude that the fraction of women in the union is significantly different from one-half.
Transcribed Image Text:An official of a large national union claims that the fraction of women in the union is not significantly different from one-half. Using the critical value approach and the sample information reported below, carry out a test of this statement. Let a = 0.05. sample size 400 women H₂: men 162 238 State the null and alternative hypotheses. (Enter != for as needed.). Ho: Find the value of the test statistic. Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic S test statistic 2 State your conclusion. O Do not reject Ho. There is insufficient evidence to conclude that the fraction of women in the union is significantly different from one-half. O Reject Ho. There is sufficient evidence to conclude that the fraction of women in the union is significantly different from one-half. O Reject Ho. There is insufficient evidence to conclude that the fraction of women in the union is significantly different from one-half. O Do not reject Ho. There is sufficient evidence to conclude that the fraction of women in the union is significantly different from one-half.
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